Anomalous quartic $WW\gamma \gamma$ couplings in $ep$ collisions at the LHeC and the FCC-he

Abstract

We conducted a study on measuring $W^{+}{W}^{-}$ production and on the sensitivity limits at $95\%$ Confidence Level on thirteen anomalous couplings obtained by dimension-8 operators which are related to the anomalous quartic $WW\gamma \gamma$ couplings. We consider the main $e^{-}p\to e^{-}{\gamma }^{\ast }{\gamma }^{\ast }p\to e^{-}{W}^{+}{W}^{-}p$ reaction with the sub-process ${\gamma }^{\ast }{\gamma }^{\ast }\to W^{+}{W}^{-}$ at the Large Hadron electron Collider (LHeC) and the Future Circular Collider-hadron electron (FCC-he). For the LHeC, energies of the $e^{-}$ beams are taken to be $E_e=60$ and 140 GeV and the energy of the $p$ beams is taken to be $E_p=7$ TeV. For the FCC-he, energies of the $e^{-}$ beams are taken to be $E_e=60$ and 140 GeV and the energy of the $p$ beams is taken to be $E_p=50$ TeV, respectively. It is interesting to notice that the LHeC and the FCC-he will lead to model-independent limits on the anomalous quartic $WW\gamma \gamma$ couplings which are one order of magnitude stringent than the CMS Collaboration limits, in addition to being competitive with other limits reported in the literature.

arXiv comment28 pages, 10 Figures and 13 Tables

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• Constraints on anomalous quartic gauge couplings via $W\gamma jj$ production at the LHC
• Probing anomalous quartic $\gamma \gamma \gamma \gamma$ couplings in light-by-light collisions at the CLIC
• Study on the anomalous quartic $W^{+}{W}^{-}\gamma \gamma$ couplings of electroweak bosons in $e^{-}p$ collisions at the LHeC and the FCC-he
• Future projections on the anomalous $WW\gamma \gamma$ couplings in hadron-hadron interactions at the FCC-hh
• Sensitivity physics expected to the measurement of the quartic $WW\gamma \gamma$ couplings at the LHeC and the FCC-he
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• Constraints on Anomalous Quartic Gauge Couplings via Electroweak Production of $\gamma \gamma jj$ at Future Proton-Proton Colliders